On the Yang-Baxter Poisson algebra in non-ultralocal integrable systems

verfasst von

Vladimir Bazhanov, Gleb Andreevich Kotoousov, Sergei Lukyanov

Abstract

A common approach to the quantization of integrable models starts with the formal substitution of the Yang–Baxter Poisson algebra with its quantum version. However it is difficult to discern the presence of such an algebra for the so-called non-ultralocal models. The latter includes the class of non-linear sigma models which are most interesting from the point of view of applications. In this work, we investigate the emergence of the Yang–Baxter Poisson algebra in a non-ultralocal system which is related to integrable deformations of the Principal Chiral Field.

Organisationseinheit(en)

Institut für Theoretische Physik

Externe Organisation(en)

Australian National University
Rutgers University

Typ

Artikel

Journal

Nuclear Physics B

Band

934

Seiten

529-556

ISSN

0550-3213

Publikationsdatum

09.2018

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja